An Analysis of Antichimeral Ramanujan Type Congruences for Quotients of the Rogers-Ramanujan Functions

Author

Ryan A. Mowers, The University of Texas Rio Grande Valley

Date of Award

5-2023

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Dr. Timothy Huber

Second Advisor

Dr. Cristina Villalobos

Third Advisor

Dr. Andras Balogh

Abstract

This paper proves the existence of antichimeral Ramanujan type congruences for certain modular forms These modular forms can be represented in terms of Klein forms and the Dedekind eta function. The main focus of this thesis is to introduce the necessary theory to characterize these specific Ramanujan type congruences and prove their antichimerality.

Comments

Copyright 2023 Ryan A. Mowers. All Rights Reserved.

https://go.openathens.net/redirector/utrgv.edu?url=https://www.proquest.com/dissertations-theses/analysis-antichimeral-ramanujan-type-congruences/docview/2842685102/se-2?accountid=7119

Recommended Citation

Mowers, Ryan A., "An Analysis of Antichimeral Ramanujan Type Congruences for Quotients of the Rogers-Ramanujan Functions" (2023). Theses and Dissertations. 1240.
https://scholarworks.utrgv.edu/etd/1240